A modified Newton–Raphson method

descriptionPublicationkeyboard_double_arrow_right Article 10 Jun 2004 English Publisher:WileyJournal:Communications in Numerical Methods in Engineering, volume 20, pages 801-805 (issn: 1069-8299, eissn: 1099-0887,

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Authors: He, Jihuan;

doi: 10.1002/cnm.664

A modified Newton–Raphson method

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Abstract

AbstractIn this paper, we propose the following modified Newton–Raphson iteration formulation: In case r=1, the obtained formulation reduces to the Newton–Raphson formulation. The present technique circumvent pitfalls of the Newton–Raphson iteration method. Some examples are illustrated. Copyright © 2004 John Wiley & Sons, Ltd.

Related Organizations

Donghua University
China (People's Republic of)

Keywords

numerical examples, nonlinear equations, Numerical computation of solutions to single equations, Lagrange multiplier, Newton-Raphson iteration method

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